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 % $OpenXM: OpenXM/doc/ascm2001/design-outline.tex,v 1.1 2001/03/07 02:42:10 noro Exp $  % $OpenXM: OpenXM/doc/ascm2001/design-outline.tex,v 1.4 2001/03/08 00:49:29 takayama Exp $
   
 \section{Design Outline and OpenXM Request for Comments (OpenXM-RFC)}  \section{Design Outline and OpenXM Request for Comments (OpenXM-RFC)}
   
Line 36  OpenXM (Open message eXchange protocol for Mathematics
Line 36  OpenXM (Open message eXchange protocol for Mathematics
 is a project aiming to integrate data, control and user interfaces  is a project aiming to integrate data, control and user interfaces
 with design goals motivated by the followings.  with design goals motivated by the followings.
 \begin{enumerate}  \begin{enumerate}
   \item We should test the proposed standards mentioned above on
   various mathematical software systems, but the testing has not been
   enough.
 \item Noro has been involved in the development of  \item Noro has been involved in the development of
 a computer algebra system Risa/Asir \cite{asir}.  a computer algebra system Risa/Asir \cite{asir}.
 An interface for interactive distributed computations was introduced  An interface for interactive distributed computations was introduced
Line 86  We want to see how far we can go with this approach.
Line 89  We want to see how far we can go with this approach.
   
 Motivated with these, we started the OpenXM project with the following  Motivated with these, we started the OpenXM project with the following
 fundamental architecture, which is currently described in  fundamental architecture, which is currently described in
 OpenXM RFC 100  proposed standard %% ``draft standard'' and ``standard''  OpenXM-RFC 100  proposed standard %% ``draft standard'' and ``standard''
 ``Design and Implementation of OpenXM client-server model and common  ``Design and Implementation of OpenXM client-server model and common
 mathematical object format''.  mathematical object format'' \cite{ox-rfc-100}.
 \begin{enumerate}  \begin{enumerate}
 \item Communication is an exchange of messages. The messages are classified into  \item Communication is an exchange of messages. The messages are classified into
 three types:  three types:
Line 99  Among the three types,
Line 102  Among the three types,
 We use standards of mathematical data formats such as OpenMath and MP  We use standards of mathematical data formats such as OpenMath and MP
 as well as our own data format {\it CMO}  as well as our own data format {\it CMO}
 ({\it Common Mathematical Object format}),  ({\it Common Mathematical Object format}),
 which can be described in XML.  which can be expressed in terms of XML.
 \item Servers, which provide services to other processes, are stack machines.  \item Servers, which provide services to other processes, are stack machines.
 The stack machine is called the  The stack machine is called the
 {\it OX stack machine}.  {\it OX stack machine}.
 Existing mathematical software are wrapped with this stack machine.  Existing mathematical software systems are wrapped with this stack machine.
 Minimal requirements for a target software wrapped with the OX stack machine  Minimal requirements for a target software wrapped with the OX stack machine
 are as follows:  are as follows:
 \begin{enumerate}  \begin{enumerate}
Line 117  it may accept and execute not only stack machine comma
Line 120  it may accept and execute not only stack machine comma
 but also its original command sequences.  but also its original command sequences.
 For example,  For example,
 if we send the following string to the {\tt ox\_asir} server  if we send the following string to the {\tt ox\_asir} server
 (OpenXM server based on Risa/Asir) \\  (OpenXM server of Risa/Asir) \\
 \verb+        " fctr(x^100-y^100); "      + \\  \verb+        " fctr(x^100-y^100); "      + \\
 and call the stack machine command  \\  and call the stack machine command  \\
 \verb+        SM_executeStringByLocalParser    + \\  \verb+        SM_executeStringByLocalParser    + \\
Line 126  then the server executes the asir command \\
Line 129  then the server executes the asir command \\
 (factorize $x^{100}-y^{100}$ over ${\bf Q}$)  (factorize $x^{100}-y^{100}$ over ${\bf Q}$)
 and pushes the result onto the stack.  and pushes the result onto the stack.
 \end{enumerate}  \end{enumerate}
 OpenXM package  is implemented on above fundamental architecture.  OpenXM package  implements the OpenXM-RFC 100 \cite{ox-rfc-100}
   and 101 \cite{ox-rfc-101} based on
   the above fundamental architecture.
   In this paper, we discuss mainly on systems implementing
   OpenXM-RFC 100 and 101 on TCP/IP.
 For example, the following is a command sequence to ask $1+1$ from  For example, the following is a command sequence to ask $1+1$ from
 the Asir client to the {\tt ox\_sm1} server:  the Asir client to the {\tt ox\_sm1} server through TCP/IP:
 \begin{verbatim}  \begin{verbatim}
   P = sm1_start();    P = sm1_start();
   ox_push_cmo(P,1); ox_push_cmo(P,1);    ox_push_cmo(P,1); ox_push_cmo(P,1);
   ox_execute_string(P,"add"); ox_pop_cmo(P);    ox_execute_string(P,"add"); ox_pop_cmo(P);
 \end{verbatim}  \end{verbatim}
 Here, {\tt ox\_sm1} is an OpenXM server based on Kan/sm1.  Here, {\tt ox\_sm1} is an OpenXM server of Kan/sm1.
   
 The OpenXM package is implemented on the OpenXM RFC 100 for TCP/IP,  Our project of integrating mathematical software
 which uses the client-server model.  systems is taking the ``RFC'' approach, which has been
 In this paper, we discuss mainly on systems implementing  used to develop internet protocols.
 OpenXM RFC 100 on TCP/IP.  We think that ``RFC'' approach is an excellent way and
   we hope that other groups, who are working on standard protocols,
   take this ``RFC'' approach, too.
   
 Our project is taking the ``RFC'' approach, which has been  
 used to develop internet protocols, to integrate mathematical software  
 systems.  
 We hope that other groups, who are working on standard protocols,  
 take the ``RFC'' approach.  
   
 The OpenXM on MPI \cite{MPI} is currently running on Risa/Asir  The OpenXM on MPI \cite{MPI} is currently running on Risa/Asir
 as we will see in Section \ref{section:homog}.  as we will see in Section \ref{section:homog}.
 We are now preparing the OpenXM RFC 102 ``Mathematical communication  We are now preparing the OpenXM-RFC 102 ``Mathematical communication
 on MPI'' (draft protocol)  on MPI'' (draft protocol)
 based on our experiments on MPI.  based on our experiments on MPI.
   
   In the rest of the paper, we abbreviate
   OpenXM-RFC 100 and 101 to OpenXM if no confusion arises.
   
   
   
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